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    Coursera
    1. Discrete Math and Analyzing Social Graphs
    2. Week 2
    3. Applying Binomial Theorem
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        Video: LecturePascal’s Triangle
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    QuizQuiz • 7 min7 minutes

    Applying Binomial Theorem

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    1.
    Question 1

    Find the coefficients of the expansion of (3a−b)3(3a-b)^3(3a−b)3. That is, represent (3a−b)3(3a-b)^3(3a−b)3 as

    α0a3+α1a2b1+α2a1b2+α3b3\alpha_0a^3+\alpha_1a^2b^1+\alpha_2a^1b^2+\alpha_3b^3α0​a3+α1​a2b1+α2​a1b2+α3​b3

    Try to compute these coefficients using the binomial theorem (instead of multiplying (3a−b)(3a-b)(3a−b) by itself two times).

    Enter the values α0,α1,α2,α3\alpha_0, \alpha_1, \alpha_2, \alpha_3α0​,α1​,α2​,α3​. Separate the values by commas, avoid spaces, do not include plus signs.

    For example, for the question (3a−b)2(3a-b)^2(3a−b)2 the answer would be: 9,-6,1

    1 / 1 point
    27,-27,9,-1
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